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Haiman ideals, affine Springer fibers, and link homology

Student-Run Research Seminar

Speaker: Joshua Turner, UC Davis
Location: 3106 MSB
Start time: Wed, Apr 3 2024, 2:10PM

We will discuss a class of ideals in a polynomial ring studied by Haiman in his work on the Hilbert scheme of points, and ask some purely algebraic questions about them. It turns out that these questions are very closely tied to homology of affine Springer fibers, Khovanov-Rozansky homology of links, and to the ORS conjecture. We will discuss which cases are known and unknown, and compute some simple examples.

Free pizzas as always:)